
"""simple docstring"""





def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Any:


					"""simple docstring"""





					_enforce_args(__snake_case,	__snake_case      )
					if n == 0:
										return 0
					_UpperCamelCase									=    float('''-inf'''      )
					for i in range(1,	n + 1      ):
										_UpperCamelCase									=    max(
										    __snake_case,	prices[i - 1] + naive_cut_rod_recursive(n - i,	__snake_case      )      )

					return max_revue



def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Optional[int]:


					"""simple docstring"""





					_enforce_args(__snake_case,	__snake_case      )
					_UpperCamelCase									=    [float('''-inf'''      ) for _ in range(n + 1      )]
					return _top_down_cut_rod_recursive(__snake_case,	__snake_case,	__snake_case      )



def  lowerCamelCase__						(     __snake_case,	__snake_case,	__snake_case      )				->						str:


					"""simple docstring"""





					if max_rev[n] >= 0:
										return max_rev[n]
					elif n == 0:
										return 0
					else:
										_UpperCamelCase									=    float('''-inf'''      )
										for i in range(1,	n + 1      ):
															_UpperCamelCase									=    max(
															    __snake_case,	prices[i - 1] + _top_down_cut_rod_recursive(n - i,	__snake_case,	__snake_case      ),	)

										_UpperCamelCase									=    max_revenue

					return max_rev[n]



def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Optional[int]:


					"""simple docstring"""





					_enforce_args(__snake_case,	__snake_case      )

					# length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
					# length 0.
					_UpperCamelCase									=    [float('''-inf'''      ) for _ in range(n + 1      )]
					_UpperCamelCase									=    0

					for i in range(1,	n + 1      ):
										_UpperCamelCase									=    max_rev[i]
										for j in range(1,	i + 1      ):
															_UpperCamelCase									=    max(__snake_case,	prices[j - 1] + max_rev[i - j]      )

										_UpperCamelCase									=    max_revenue_i

					return max_rev[n]



def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Dict:


					"""simple docstring"""





					if n < 0:
										_UpperCamelCase									=    F'''n must be greater than or equal to 0. Got n = {n}'''
										raise ValueError(__snake_case      )

					if n > len(__snake_case      ):
										_UpperCamelCase									=    (
										    '''Each integral piece of rod must have a corresponding price. '''
										    F'''Got n = {n} but length of prices = {len(__snake_case      )}'''
										)
										raise ValueError(__snake_case      )



def  lowerCamelCase__						(     )				->						Optional[int]:


					"""simple docstring"""





					_UpperCamelCase									=    [6, 10, 12, 15, 20, 23]
					_UpperCamelCase									=    len(__snake_case      )

					# the best revenue comes from cutting the rod into 6 pieces, each
					# of length 1 resulting in a revenue of 6 * 6 = 36.
					_UpperCamelCase									=    36

					_UpperCamelCase									=    top_down_cut_rod(__snake_case,	__snake_case      )
					_UpperCamelCase									=    bottom_up_cut_rod(__snake_case,	__snake_case      )
					_UpperCamelCase									=    naive_cut_rod_recursive(__snake_case,	__snake_case      )

					assert expected_max_revenue == max_rev_top_down
					assert max_rev_top_down == max_rev_bottom_up
					assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
				main()











'''simple docstring'''

from typing import TYPE_CHECKING

from ....utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


SCREAMING_SNAKE_CASE__     :						Tuple	=  {'''configuration_van''': ['''VAN_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''VanConfig''']}


try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			SCREAMING_SNAKE_CASE__     :						List[str]	=  [
			    '''VAN_PRETRAINED_MODEL_ARCHIVE_LIST''',
			    '''VanForImageClassification''',
			    '''VanModel''',
			    '''VanPreTrainedModel''',
			]

if TYPE_CHECKING:
			from .configuration_van import VAN_PRETRAINED_CONFIG_ARCHIVE_MAP, VanConfig

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_van import (
						    VAN_PRETRAINED_MODEL_ARCHIVE_LIST,
						    VanForImageClassification,
						    VanModel,
						    VanPreTrainedModel,
						)

else:
			import sys

			SCREAMING_SNAKE_CASE__     :						Dict	=  _LazyModule(__name__, globals()['''__file__'''], _import_structure)




